document.write( "Question 1034870: In simultaneous equation, uing substitutional method, solve 3x+3y=10 and 2x-y=2 \n" ); document.write( "

Algebra.Com's Answer #649533 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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In simultaneous equation, using substitution method, solve
\n" ); document.write( "3x + 3y = 10
\n" ); document.write( "2x - y = 2
\n" ); document.write( ":
\n" ); document.write( "Rearrange the 2nd equation for substitution
\n" ); document.write( "subtract 2x from both sides
\n" ); document.write( "-y = -2x + 2
\n" ); document.write( "multiply by -1
\n" ); document.write( "y = 2x - 2
\n" ); document.write( ":
\n" ); document.write( "Replace y with (2x-2) in the 1st equation
\n" ); document.write( "3x + 3(2x - 2) = 10
\n" ); document.write( "3x + 6x - 6 = 10
\n" ); document.write( "9x = 10 + 6
\n" ); document.write( "9x = 16
\n" ); document.write( "x = 16/9
\n" ); document.write( ":
\n" ); document.write( "Find y
\n" ); document.write( "y = 2(16/9) - 2
\n" ); document.write( "y = (32/9) - (18/9)
\n" ); document.write( "y = (14/9)
\n" ); document.write( ":
\n" ); document.write( "Solution
\n" ); document.write( "x = 16/9
\n" ); document.write( "y = 14/9
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this on your calc in the 1st equation
\n" ); document.write( "3(16/9) + 3(14/9) = \n" ); document.write( "

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